Deriving the SVD (Single Value Decomposition) from scratch

I was just about to type the same thing. There's no way this isn't AI-generated, I've had conversations with ChatGPT to learn about some matrix math and solving systems of equations, and this feels like a carbon copy of some of those conversations. Em-dashes galore, things "falling out" of other things, bullet points, "That last point is the heart of it.", "Both frames clean, no skew.", "Now here is the insight that makes the whole thing click.".

I am not giving you the benefit of the doubt even with your disclaimer at the top. Too many LLMisms to be a coincidence.

I read the article anyway so people don't complain about me complaining about AI slop, and I'll say this: Reading this article was like having someone explain really complex board game rules without first giving me motivation on why I would want to play or what I'm trying to achieve. What can I do with SVD? Maybe give me a concrete problem to solve, where SVD is helpful.

I recently worked on a toy 2D geometric constraint solver and it was super fun to implement from scratch. I had an AI to consult on various mathematical concepts (which in my opinion is one of the great uses of AI), and giving it a concrete problem to solve was extremely helpful to to cut through a lot of the notation noise. It of course also gave me the motivation to actually learn the concepts, or else I wasn't going to see lines and circles snap together using the constraints I had defined.

In any case, maybe you really did write this without any AI usage. I doubt it, but if that's really the case, I'd recommend a change of tone and writing style, because currently it is almost exactly 1:1 with a vanilla chatgpt session.

So many shibboleths. Zero chance it's not AI.